All 100 targets have a solution.
\(1 = \frac{ \sqrt{58 - 9} }{ 7 }\)
\(2 = 9 - \sqrt{57 - 8 }\)
\(3 = 59 - 7 \cdot 8 \)
\(4 = 9 - ( 8 - 7 ) \cdot 5 \)
\(5 = 7 \cdot 9 - 58 \)
\(6 = 85 - 79 \)
\(7 = \frac{ 58 - 9 }{ 7 }\)
\(8 = 95 - 87 \)
\(9 = \frac{ 98 }{ 7 } - 5 \)
\(10 = \sqrt{97 - 5 + 8 }\)
\(11 = \frac{ 95 - 7 }{ 8 }\)
\(12 = 97 - 85 \)
\(13 = \frac{ 8 }{ 7 - 5 } + 9 \)
\(14 = 89 - 75 \)
\(15 = 8 \cdot 9 - 57 \)
\(16 = \sqrt{57 - 8} + 9 \)
\(17 = 95 - 78 \)
\(18 = \frac{ 87 + \sqrt{9} }{ 5 }\)
\(19 = 78 - 59 \)
\(20 = ( 9 - 5 ) \cdot 7 - 8 \)
\(21 = 79 - 58 \)
\(22 = 85 - 7 \cdot 9 \)
\(23 = 98 - 75 \)
\(24 = 5! - 87 - 9 \)
\(25 = ( 7 - 5 ) \cdot 8 + 9 \)
\(26 = \frac{ 85 - 7 }{ \sqrt{9 } }\)
\(27 = \frac{ 57 }{ \sqrt{9} } + 8 \)
\(28 = 87 - 59 \)
\(29 = \frac{ 58 }{ 9 - 7 }\)
\(30 = ( 8 - 5 ) \cdot 7 + 9 \)
\(31 = \frac{ 78 }{ \sqrt{9} } + 5 \)
\(32 = 89 - 57 \)
\(33 = 78 - 5 \cdot 9 \)
\(34 = \frac{ 87 }{ \sqrt{9} } + 5 \)
\(35 = ( 9 - 8 ) \cdot 5 \cdot 7 \)
\(36 = \frac{ 8 }{ 7 - 5 } \cdot 9 \)
\(37 = 58 - 7 \cdot \sqrt{9 }\)
\(38 = 758 - \sqrt{9 }!!\)
\(39 = 97 - 58 \)
\(40 = 57 - 8 - 9 \)
\(41 = 98 - 57 \)
\(42 = 58 - 7 - 9 \)
\(43 = 57 - 8 - \sqrt{9 }!\)
\(44 = 59 - 7 - 8 \)
\(45 = ( 8 - 7 ) \cdot 5 \cdot 9 \)
\(46 = 57 - 8 - \sqrt{9 }\)
\(47 = 5^{\sqrt{9}} - 78 \)
\(48 = 58 - 7 - \sqrt{9 }\)
\(49 = \frac{ 98 }{ 7 - 5 }\)
\(50 = 7 \cdot 9 - 5 - 8 \)
\(51 = 75 - 8 \cdot \sqrt{9 }\)
\(52 = 57 - 8 + \sqrt{9 }\)
\(53 = \sqrt{\sqrt{7^{8}}} - 5 + 9 \)
\(54 = 89 - 5 \cdot 7 \)
\(55 = 8^{7 - 5} - 9 \)
\(56 = 57 + 8 - 9 \)
\(57 = ( 9 - 8 ) \cdot 57 \)
\(58 = 57 - 8 + 9 \)
\(59 = ( 8 - 7 ) \cdot 59 \)
\(60 = 58 - 7 + 9 \)
\(61 = 75 - 8 - \sqrt{9 }!\)
\(62 = 57 + 8 - \sqrt{9 }\)
\(63 = 98 - 5 \cdot 7 \)
\(64 = 78 - 5 - 9 \)
\(65 = 785 - \sqrt{9 }!!\)
\(66 = 79 - 5 - 8 \)
\(67 = \frac{ 8! }{ 7! } + 59 \)
\(68 = 57 + 8 + \sqrt{9 }\)
\(69 = 85 - 7 - 9 \)
\(70 = \frac{ 98 \cdot 5 }{ 7 }\)
\(71 = 57 + 8 + \sqrt{9 }!\)
\(72 = 87 - 5 \cdot \sqrt{9 }\)
\(73 = 87 - 5 - 9 \)
\(74 = 57 + 8 + 9 \)
\(75 = ( 9 - 8 ) \cdot 75 \)
\(76 = 75 - 8 + 9 \)
\(77 = 89 - 5 - 7 \)
\(78 = ( 8 + 9 ) \cdot 5 - 7 \)
\(79 = 7 \cdot \sqrt{9} + 58 \)
\(80 = 95 - 7 - 8 \)
\(81 = 8 \cdot \sqrt{9} + 57 \)
\(82 = 78 - 5 + 9 \)
\(83 = 85 + 7 - 9 \)
\(84 = 97 - 5 - 8 \)
\(85 = ( 8 - 5 )! + 79 \)
\(86 = 98 - 5 - 7 \)
\(87 = 85 - 7 + 9 \)
\(88 = ( 7 - 5 + 9 ) \cdot 8 \)
\(89 = 85 + 7 - \sqrt{9 }\)
\(90 = ( 7 - 5 + 8 ) \cdot 9 \)
\(91 = 87 - 5 + 9 \)
\(92 = 75 + 8 + 9 \)
\(93 = 5 \cdot \sqrt{9} + 78 \)
\(94 = 95 + 7 - 8 \)
\(95 = ( 8 - 7 ) \cdot 95 \)
\(96 = 95 - 7 + 8 \)
\(97 = 5 \cdot 7 \cdot \sqrt{9} - 8 \)
\(98 = \sqrt{98^{7 - 5 }}\)
\(99 = 8 \cdot \sqrt{9} + 75 \)
\(100 = 97 - 5 + 8 \)